English

The vector form factor of the pion from unitarity and analyticity: a model-independent approach

High Energy Physics - Phenomenology 2008-11-26 v1 High Energy Physics - Experiment

Abstract

We study a model-independent parameterization of the vector pion form factor that arises from the constraints of analyticity and unitarity. Our description should be suitable up to sqrt(s) ~ 1.2 GeV and allows a model-independent determination of the mass of the rho(770) resonance, M(rho) = (775.1 +- 0.5) MeV. We analyse the experimental data on tau(-) -> pion(-) pion(0) neutrino(tau), in this framework, and its consequences on the low-energy observables worked out by chiral perturbation theory. An evaluation of the two-pion contribution to the anomalous magnetic moment of the muon, a_muon, and to the fine structure constant, alpha(M(Z)^2), is also performed.

Keywords

Cite

@article{arxiv.hep-ph/0101194,
  title  = {The vector form factor of the pion from unitarity and analyticity: a model-independent approach},
  author = {A. Pich and J. Portoles},
  journal= {arXiv preprint arXiv:hep-ph/0101194},
  year   = {2008}
}

Comments

1+15 pages, 2 figures